Professor of Geometry
Research Interests: Symplectic Topology
Publications
Symplectic topology of $K3$ surfaces via mirror symmetry
– Journal of the American Mathematical Society
(2020)
33,
875
(doi: 10.1090/jams/946)
Bounds on Wahl singularities from symplectic topology
– Algebraic Geometry
(2020)
7,
59
(doi: 10.14231/ag-2020-003)
Khovanov homology from Floer cohomology
– Journal of the American Mathematical Society
(2019)
32,
1
(doi: 10.1090/jams/902)
Nearby Lagrangian fibers and Whitney sphere links
– Compositio Mathematica
(2018)
154,
685
(doi: 10.1112/s0010437x17007692)
Markov numbers and Lagrangian cell complexes in the complex projective plane
– Geometry and Topology
(2018)
22,
1143
(doi: 10.2140/gt.2018.22.1143)
Symplectomorphisms of exotic discs (with an Appendix by Sylvain Courte)
– Journal de l'École polytechnique — Mathématiques
(2018)
5,
289
(doi: 10.5802/jep.71)
Homological mirror symmetry for generalized Greene–Plesser mirrors
(2017)
(doi: 10.1007/s00222-020-01018-w)
The monotone wrapped Fukaya category and the open-closed string map
– Selecta Mathematica
(2016)
23,
533
(doi: 10.1007/s00029-016-0255-9)
Lagrangian exotic spheres
– Journal of Topology and Analysis
(2016)
8,
375
(doi: 10.1142/S1793525316500199)
The symplectic arc algebra is formal
– Duke Mathematical Journal
(2016)
165,
985
(doi: 10.1215/00127094-3449459)
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